%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG059+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:53 PM UTC 2026
% Result : Theorem 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 18 unt; 2 def)
% Number of atoms : 102 ( 38 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 91 ( 33 ~; 36 |; 18 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f58,conjecture,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f59,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(negated_conjecture,[status(cth)],[f58]) ).
fof(f60,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(flattening,[],[f59]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f77]) ).
fof(f83,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f84,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f83]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f150,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f205,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f209,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f210,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f211,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f214,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf_transformation,[],[f60]) ).
fof(f240,plain,
! [X2,X0,X1] :
( aScalar0(X2)
| aScalar0(X1)
| aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f245,plain,
! [X0,X1] :
( aScalar0(X1)
| aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f284,plain,
~ aScalar0(xR),
inference(consistent_polarity_flipping,[],[f205]) ).
fof(f286,plain,
~ aScalar0(xS),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f287,plain,
~ aScalar0(xN),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f289,definition,
( spl2_1
<=> ! [X0,X1] :
( aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f290,plain,
( ! [X0,X1] :
( aScalar0(X1)
| aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,definition,
( spl2_2
<=> ! [X2] : aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f293,plain,
( ! [X2] : aScalar0(X2)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f240,f292,f289]) ).
fof(f316,plain,
( $false
| ~ spl2_2 ),
inference(backward_subsumption_resolution,[],[f287,f293]) ).
fof(f329,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f562,plain,
( ! [X0] :
( aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl2_1 ),
inference(resolution,[],[f290,f284]) ).
fof(f685,plain,
! [X0] :
( aScalar0(X0)
| smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR) ),
inference(resolution,[],[f245,f284]) ).
fof(f2091,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl2_1 ),
inference(resolution,[],[f562,f286]) ).
fof(f2093,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f2091,f210]) ).
fof(f3928,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xS,xR)),
inference(resolution,[],[f685,f286]) ).
fof(f3930,plain,
( sdtasdt0(smndt0(xS),xR) = smndt0(xN)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f3928,f2093]) ).
fof(f3932,plain,
( $false
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f3930,f214]) ).
fof(f3933,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f3932]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f294]) ).
cnf(s16,plain,
~ spl2_2,
inference(sat_conversion,[],[f329]) ).
cnf(s91,plain,
~ spl2_1,
inference(sat_conversion,[],[f3933]) ).
cnf(s104,plain,
$false,
inference(rat,[],[s1,s16,s91]) ).
fof(f3935,plain,
$false,
inference(avatar_sat_refutation,[],[s104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG059+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:08:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.56 % (3097191)Will run a generic schedule for satisfiability detection.
% 0.16/0.56 % (3097199)dis+10_1_sil=32000:sp=arity:random_seed=216491177:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.56 % (3097197)% WARNING: option uhcvi not known.
% 0.16/0.56 % (3097196)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3420210925_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.56 % (3097197)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4037466165:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.56 % (3097198)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1150482942:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.56 % (3097200)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1295602107:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.56 % (3097201)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1673513384:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56 % (3097202)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=405107594:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % (3097199)Instruction limit reached!
% 0.16/0.56 % (3097199)------------------------------
% 0.16/0.56 % (3097199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3097199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3097199)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3097199)Termination reason: Instruction limit
% 0.16/0.56 % (3097199)Termination phase: Saturation
% 0.16/0.56 % (3097199)Time elapsed: 0.035 s
% 0.16/0.56 % (3097199)Peak memory usage: 13 MB
% 0.16/0.56 % (3097199)Instructions burned: 105 (million)
% 0.16/0.56 % (3097210)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1845562238:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % (3097200)Instruction limit reached!
% 0.16/0.56 % (3097200)------------------------------
% 0.16/0.56 % (3097200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3097200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3097200)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3097200)Termination reason: Instruction limit
% 0.16/0.56 % (3097200)Termination phase: Saturation
% 0.16/0.56 % (3097200)Time elapsed: 0.067 s
% 0.16/0.56 % (3097200)Peak memory usage: 13 MB
% 0.16/0.56 % (3097200)Instructions burned: 117 (million)
% 0.16/0.56 % (3097201)Instruction limit reached!
% 0.16/0.56 % (3097201)------------------------------
% 0.16/0.56 % (3097201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3097201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3097201)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3097201)Termination reason: Instruction limit
% 0.16/0.56 % (3097201)Termination phase: Saturation
% 0.16/0.56 % (3097201)Time elapsed: 0.072 s
% 0.16/0.56 % (3097201)Peak memory usage: 13 MB
% 0.16/0.56 % (3097201)Instructions burned: 132 (million)
% 0.16/0.56 % (3097197) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3097191-3097197"...
% 0.16/0.56 % (3097197)...printing done.
% 0.16/0.56 % (3097197)Refutation found. Thanks to Tanya!
% 0.16/0.56 % SZS status Theorem for theBenchmark
% 0.16/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (3097197)------------------------------
% 0.16/0.56 % (3097197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3097197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3097197)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3097197)Termination reason: Refutation
% 0.16/0.56 % (3097197)Time elapsed: 0.078 s
% 0.16/0.56 % (3097197)Peak memory usage: 14 MB
% 0.16/0.56 % (3097197)Instructions burned: 139 (million)
% 0.16/0.56 % (3097191)Success in time 0.125 s
% 0.16/0.56 % Vampire exiting
%------------------------------------------------------------------------------